Finite-size corrections for Coulomb systems in the Debye–Hückel regime
نویسندگان
چکیده
منابع مشابه
General Considerations on the Finite-Size Corrections for Coulomb Systems in the Debye–Hückel Regime
We study the statistical mechanics of classical Coulomb systems in a low coupling regime (Debye–Hückel regime) in a confined geometry with Dirichlet boundary conditions. We use a method recently developed by the authors which relates the grand partition function of a Coulomb system in a confined geometry with a certain regularization of the determinant of the Laplacian on that geometry with Dir...
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It has been argued that for a finite two-dimensional classical Coulomb system of characteristic size R, in its conducting phase, as R → ∞ the total free energy (times the inverse temperature β) admits an expansion of the form: βF = AR +BR+ 1 6 χ lnR, where χ is the Euler characteristic of the manifold where the system lives. The first two terms represent the bulk free energy and the surface fre...
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The model periodic Coulomb interaction (Williamson et al 1997 Phys. Rev. B 55 R4851) is a replacement for the Ewald sum, developed to reduce finitesize errors in the simulation of extended 3D systems. We investigate the generalization of this technique to quasi-2D systems; we show through testing in quantum Monte Carlo simulations that while the new interaction reduces the calculation time dram...
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Disordered systems are actively investigated in the statistical physics community, their presence being ubiquitous in material science, biology, finance, information theory. Even the most simple models of disorder systems, e.g. the SherringtonKirkpatrik Spin-Glass, show a remarkably complex phenomenology and stimulated the development of powerful and general mathematical tools, namely the Repli...
متن کاملFinite Size Corrections in Disordered Systems and Optimization Problems
Disordered systems are actively investigated in the statistical physics community, their presence being ubiquitous in material science, biology, finance, information theory. Even the most simple models of disorder system, e.g. the SherringtonKirkpatrik Spin-Glass, show a remarkably complex phenomenology and stimulated the development of powerful and general mathematical tools, namely the Replic...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2004
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/37/6/012